The following population parameters were obtained from a graphing calculator. Assuming the population is bell-shaped, between what two values will approximately 95% of the population be?
A) 43 to 69
B) 56 to 95
C) 30 to 82
D) 17 to 95

Question

The following population parameters were obtained from a graphing calculator.  Assuming the population is bell-shaped, between what two values will approximately 95% of the population be?
A) 43 to 69 
B) 56 to 95 
C) 30 to 82 
D) 17 to 95

Quizplus · Accepted Answer

According to the empirical rule, approximately 95% of values within a bell-shaped distribution fall within two standard deviations of the mean. In this case, the mean is 56 and the standard deviation is 26. Therefore, two standard deviations below the mean is 56 - 2(26) = 4, and two standard deviations above the mean is 56 + 2(26) = 108. This means that approximately 95% of the population falls within the range of 4 to 108. Choice C, which has a range of 30 to 82, falls within this range and is therefore the best choice.

The Following Population Parameters Were Obtained from a Graphing Calculator